Graviton loop contribution to Higgs potential in gauge-Higgs unification

Abstract

We study a two-loop finiteness of an effective potential for a Higgs boson that is the fifth component of a gauge field in an $U(1)$ gauge theory coupled to quantum gravity on the five-dimensional space-time $M^4\times S^1$. There are two types of diagrams including quantum gravitational corrections. We find that only one type of diagram contributes to the effective potential for the Higgs boson in fact and its magnitude is finite.

11 pages, 2 figures

References in corpus (4)

• Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification
• All-order Finiteness of the Higgs Boson Mass in the Dynamical Gauge-Higgs Unification
• Dynamical Gauge Symmetry Breaking by Wilson Lines in the Electroweak Theory
• Radion stabilization in the presence of Wilson line phase

Cited by in corpus (1)

• The UV sensitivity of the Higgs potential in Gauge-Higgs Unification